Donald Goldfarb (born August 14, 1941 in New York City) is an American
mathematician
A mathematician is someone who uses an extensive knowledge of mathematics in their work, typically to solve mathematical problems.
Mathematicians are concerned with numbers, data, quantity, structure, space, models, and change.
History
On ...
, best known for his works in
mathematical optimization and
numerical analysis
Numerical analysis is the study of algorithms that use numerical approximation (as opposed to symbolic manipulations) for the problems of mathematical analysis (as distinguished from discrete mathematics). It is the study of numerical methods ...
.
Goldfarb studied Chemical Engineering at
Cornell University
Cornell University is a private statutory land-grant research university based in Ithaca, New York. It is a member of the Ivy League. Founded in 1865 by Ezra Cornell and Andrew Dickson White, Cornell was founded with the intention to tea ...
, earning a BSChE in 1963. He obtained an M.S. from
Princeton University
Princeton University is a private research university in Princeton, New Jersey. Founded in 1746 in Elizabeth as the College of New Jersey, Princeton is the fourth-oldest institution of higher education in the United States and one of the ...
in 1965, and a doctorate in 1966.
["Donakd Gokdfarb fsvulty homepage"](_blank)
Columbia University School of Engineering. Accessed February 16, 2022.
After getting his Ph.D., Goldfarb spent two years as a post-doc at the
Courant Institute
The Courant Institute of Mathematical Sciences (commonly known as Courant or CIMS) is the mathematics research school of New York University (NYU), and is among the most prestigious mathematics schools and mathematical sciences research cente ...
in New York City.
In 1968, he co-founded the CS Department at
the City College of New York
The City College of the City University of New York (also known as the City College of New York, or simply City College or CCNY) is a public university within the City University of New York (CUNY) system in New York City. Founded in 1847, Cit ...
, serving 14 years on its faculty. During the 1979-80 academic year, he was a Visiting Professor in the CS and ORIE Departments at
Cornell University
Cornell University is a private statutory land-grant research university based in Ithaca, New York. It is a member of the Ivy League. Founded in 1865 by Ezra Cornell and Andrew Dickson White, Cornell was founded with the intention to tea ...
. In 1982, Goldfarb joined the IEOR Department at
Columbia, serving as Chair from 1984-2002. He also served as Interim Dean of Columbia's School of Engineering and Applied Science during the 1994-95 and 2012-13 academic years and its Executive Vice Dean during the Spring 2012 semester.
He is one of the developers of the
Broyden–Fletcher–Goldfarb–Shanno algorithm
In numerical optimization, the Broyden–Fletcher–Goldfarb–Shanno (BFGS) algorithm is an iterative method for solving unconstrained nonlinear optimization problems. Like the related Davidon–Fletcher–Powell method, BFGS determines the ...
. In 1992, he and J. J. Forrest developed the steepest edge
simplex method
In mathematical optimization, Dantzig's simplex algorithm (or simplex method) is a popular algorithm for linear programming.
The name of the algorithm is derived from the concept of a simplex and was suggested by T. S. Motzkin. Simplices are n ...
.
Goldfarb is a SIAM Fellow. He was awarded the INFORMS John Von Neumann Theory Prize in 2017, the Khachiyan Prize in 2013, the INFORMS Prize for Research Excellence in the Interface between OR and CS in 1995, and was listed in The Worlds Most Influential Scientific Minds, 2014, as being among the 99 most cited mathematicians between 2002 and 2012. Goldfarb has served as an editor-in-chief of Mathematical Programming, an editor of the SIAM Journal on Numerical Analysis and the SIAM Journal on Optimization, and as an associate editor of Mathematics of Computation, Operations Research and Mathematical Programming Computation.
References
1941 births
Living people
Cornell University College of Engineering alumni
20th-century American mathematicians
Princeton University alumni
Columbia University faculty
21st-century American mathematicians
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